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Rigid Body Dynamics 2 CSE169: Computer Animation Instructor: Steve Rotenberg UCSD, Spring 2016 Cross Product & Hat Operator Derivative of a Rotating Vector Let’s say that vector r is rotating around the origin, maintaining a fixed distance At any instant, it has an angular velocity of ω dr r ω dt ωr ωr Product Rule The product rule of differential calculus can be extended to vector and matrix products as well d ab dabadb dt dt dt d ab dabadb dt dt dt dAB dABAdB dt dt dt
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